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The hypotenuse of a right triangle measures 15 cm and one of its legs measures 13 cm. Find the measure of the other leg

User Kymo Wang
by
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1 Answer

2 votes

Hi!

We can solve this using the Pythagorean Theorem.


a^2+b^2=c^2 where
a and
b are the legs and
c is the hypotenuse.

Given:

1 leg = 13

2 leg = ???

hypotenuse = 15

Plug the values into the equation above:


13^2+b^2=15^2

Multiply using exponents:


169+b^2=225

Subtract 169 from both sides:


b^2=56

Take the square root of both sides:


b=
√(56)

User Litrik De Roy
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5.6k points